Collective scattering in lattice-trapped Sr atoms via dipole-dipole interactions

We investigate, based on the coupled dipole model, collective properties of dense Sr ensembles trapped in a three-dimensional (3D) optical lattice in the presence of dipole-dipole interactions induced on the 5$s5p^{3}$P$_{0}\to5s4d^{3}$D$_{1}$ transition. Our results reveal that the collective scattering properties, such as the scattered light intensity, frequency shift and linewidth, strongly depend on the interatomic distance and the atom number in the lattice. Moreover, the emission intensity is strongly dependent on the atomic distribution in lattices, the laser polarization and the detection position. The results not only offer the understanding of collective behaviors of lattice-trapped ensembles with an atom number equivalent to the experimental scale, but also provide an excellent platform for exploring many-body physics, thereby, opening a new window for applications like quantum information processing and quantum simulation.